God of black technology

Of course, because Wang Yun did not upload to arXiv for too long, only about half an hour.On the entire arXiv, people who saw Wang Yun's paper uploaded, now everyone's attention is focused on his paper.Of course, there are still some folk sciences that have begun to promote that Wang Yun did not unravel the paper.

However, the academia doesn't care about this group of folk science at all.Everyone is looking at Wang Yun's paper, whether there is a logical error, or an error in calculation.

It's just a pity that no one can find out Wang Yun's mistakes in a short period of time, or in other words, for this paper.It is almost impossible to jump out of the error.Well, now we can only wait to verify whether Wang Yun has really solved the Kakutani conjecture.

Even if Wang Yun did not solve the Kakutani conjecture, after reading Wang Yun's paper, the academic community has reason to believe it.They are infinitely closer to the resolution of the Kakutani conjecture.

Wang Yun used complex manifolds to dissect almost the entire Kadotani conjecture.

He has reached the point where no one has come before, and the academic debate on Kadotani's conjecture has never stopped.Especially what kind of method to use to prove the Kakutani conjecture, no one thought that Wang Yun actually proved the entire Kadotani conjecture once using complex manifolds.

Regardless of whether Wang Yun's proof is right or wrong, it has brought new vitality to the field of mathematics and even informatics.

It’s only 2016 now, I’m afraid this person has been growing up for two years, no, even now, as long as Wang Yun’s solution to Kakutani’s conjecture is proved to be correct, then—Wang Yun has the strength to directly compete for the Fields Award.

There is a great chance that he will become the second physicist in the field of physics or the Fields Medal.

In this way, the Fields Medal in 18 was very lively.Of course, now is not the time to talk about this.Many people who saw Wang Yun's paper on arXiv have already started to calculate according to Wang Yun's paper.As long as one can understand Wang Yun's thesis, it is enough to be able to calculate to the last step.

As for whether Wang Yun has really solved Kakutani's conjecture, it is already very obvious.

A conjecture is not difficult to verify, but difficult to prove.Of course, some conjectures require a lot of energy even if they want to verify them.For example, in 03, the Russian mathematician Григорий Яковлевич Перельман announced that he had solved the Poincaré conjecture, one of the seven major mathematical conjectures of the 21st century.

However, it took mathematicians all over the world two years to verify that Григорий Яковлевич Перельман did prove the Poincaré conjecture.

Originally, Fields was going to be awarded to Григорий Яковлевич Перельман. In fact, Григорий Яковлевич Перельман rejected the Fields Award and lived a life of seclusion ever since.

Of course, the difficulty of the Kakutani conjecture solved by Wang Yun did not reach the level of the Poincaré conjecture.But it will take time to really check whether this conjecture is really solved.

This can be regarded as a kind of academic lag.

Professor Witten did not read the whole paper, but after reading half of the paper, he asked his assistant to call Wang Yun.

At this time, Wang Yun just took a shower in the dormitory and changed into new clothes.Just as he was about to go out to enjoy the summer sunshine in Princeton, Wang Yun was a little surprised when the phone rang.After hearing the assistant's voice, Wang Yun's voice became flatter.

"Wang." The assistant said on the other end of the phone, "In any case, I still need to congratulate you. Regardless of whether you have solved the Kakutani conjecture or not, it is undeniable that we have made another big step forward in mathematics."

"Thank you, Mr. Robert." Professor Witten's assistant is named Robert, and Wang Yun is not at fault for saying this.

"King." Robert was silent for a while, "Are you free now? Or do you want to have a good sleep? Of course I know, you must be very excited now."

excited?Wang Yun was stunned, he didn't seem to feel any excitement.When he first thought of this result, he was really excited, but as time went by, especially since he was still solving the Kakutani conjecture.How could there be any feeling of excitement? By the time he solved this conjecture, that feeling had long since disappeared.Just relieved.That's all, no other feelings.

Nothing!

ummmmmmm...

How should he tell Mr. Robert about it?It seems that Mr. Robert may be surprised if he doesn't act happier.

"To be honest, Mr. Robert, I don't think there's anything exciting about this." Wang Yun paused, and said dumbfoundingly, "The main reason is that the verification process is too complicated, and my patience has been exhausted."

"I understand." Robert asked softly, "So do you need to rest now?"

"Oh, no, I'm in good spirits now." Wang Yun smiled, "Is Professor Witten looking for something?"

"Professor Witten is indeed looking for you, but what is it?" Robert lowered his voice after glancing at Professor Witten who was sitting on the seat, "I don't know, I think, could it be that Professor Witten is in your seat?" Did you find any mistakes in the paper, or would like to discuss the paper with you?"

Although Robert would not think that the famous Professor Witten would snatch Wang Yun's scientific research results, and he still posted the scientific research results on arXiv.

"Okay, after I tidy up, I'll come to Professor Witten." Wang Yun tidied up his clothes, opened the door, and the sun shone on him, which made him feel a little warm.With a warm smile, he walked on the campus of Princeton.At this time, everyone was in a hurry, and the exam was about to take place, and the pressure on the students suddenly increased a lot.Even the students who joined the club stopped throwing parties.

Walking to Professor Witten's office, Wang Yun gently knocked on the door.

"come in."

Pushing the door open, Wang Yun looked at Professor Witten and said, "Hello, Professor."

"En." Professor Witten nodded, "Sit down."

After Wang Yun sat down, Professor Witten looked at Wang Yun, "Wang, you really surprised me."

Wang Yun did not speak, and Professor Witten continued, "I gave you half a year to study Kakutani's conjecture, but I didn't expect you to have achieved results. First of all, regardless of whether it has been proved by you, but you are indeed interested in Kakaya's conjecture. The contribution of the conjecture is great. Especially in the application of complex manifolds, you showed me a new complex manifold model. Of course, Wang, you also know that it is necessary to verify whether a conjecture is proved to be a process. I hope , you can wait patiently."

"Wang, which journal do you plan to submit to?" Prof. Witten chose a lighter topic.

"Professor." Wang Yun was silent for a while, just as he planned to ask the opinion of this top physicist, even a master of physics, "Do you think there is hope if I submit this paper to Nature?"

Professor Witten looked at Wang Yun, shook his head and said, "Of course, such an important conjecture can be published in Nature, but I thought you would choose Science. I heard that your cooperation with Science is quite pleasant." of."

Wang Yun smiled embarrassedly, but did not take what Professor Witten said.

"This is your personal choice, and I will not interfere." Professor Witten looked at Wang Yun, "I called you here, and there is another very important matter that I want to ask you."

Wang Yun nodded and looked at Wang Yun.

"Wang, can you guarantee with all your academic honors that you completed this thesis independently?" Professor Witten looked at Wang Yun with a serious face.

"Naturally." Wang Yun nodded vigorously, "I use my academic reputation to guarantee that this thesis was indeed completed by myself."

"Then—" Professor Witten smiled, "let's talk about the graduation project."

Wang Yun listened carefully to Professor Witten's words, "Since your project is very important, I would like to use the form of an academic report for this graduation project."

"Is it only within Princeton?" Wang Yun asked in confusion.

"That's right." Professor Witten nodded, "Don't underestimate Princeton, Wang, you are indeed very powerful. But you are not the only monster in Princeton. You have to be careful when giving academic reports. Otherwise, if you are not careful, you will fall into the road."

"If Princeton can recognize your academic achievements, then the whole world will not be far from recognizing your academic achievements." Professor Witten looked at Wang Yun, and he looked at the student who made him very satisfied and asked, "Wang, how dare you Do you want to have an academic report meeting for all the teachers and students of Princeton?"

Wang Yun laughed, "Of course there is no problem. If this academic report is successful, does it mean that I have obtained a bachelor's degree from Princeton?"

"This is natural." Professor Witten nodded very naturally, "Not only that, I believe that you have such academic achievements, no matter which professor you apply for in the future, it will be enough to attract attention. "

"Professor, I want to ask." Wang Yun looked at Professor Witten, "Can I continue to study Ph.D with you?"

"Wang, if you want to study for a Ph.D. with me, I will let you get a direct Ph. It will be much easier for you to study with other professors."

"Then what will happen if I study under the professor?"

"I will demand you with higher standards." Professor Witten stared at Wang Yun with a serious face and said, "Your talent for mathematics and physics is extremely rare. I believe that during your Ph.D. , There will definitely be breakthroughs. If you don’t want to choose the same topic as me, I would even suggest that you choose NS equations or Yang-Mills’ phased results of the magnitude of existence and quality gaps as your doctoral topic.”

"You have to know, Wang, even for you, this is a very difficult thing."

Wang Yun smiled, "It just so happens, professor, to tell you the truth, I have stayed in Princeton for four months, and I think I have accumulated enough. During my doctoral stage, I just wanted to take the NS equation as my subject, I want to try to really unravel it. As for the Yang-Mills existence and quality gap, for this part. Maybe I have to ask you professor, Yang-Mills existence and quality gap is essentially A mathematical conjecture and a problem with gauge theory."

"Professor, you are very good at quantum physics." Wang Yun blinked at Professor Witten, "I believe Professor Witten, you must be generous with your teachings."

"Wang." Professor Witten said with a smile, "You are the most special student I have ever seen, and also the most talented student. If you can really solve the NS equation, I believe you will already be a professor at Princeton at that time. And no longer my student."

"Also, he is a legendary young Princeton professor." Professor Witten shook his head, "Of course, since you want to study for my doctorate, I will naturally teach you everything I have in between your research topics. How much you can absorb. That's up to you. Wang—" Professor Witten seemed to want to say something, but in the end, he didn't say anything, just waved his hand and said, "Okay, Wang, you Let's leave first."

"Thank you, Professor." Obviously, Professor Witten still had something to say, but he was helpless. Professor Witten didn't want to say that it was impossible for Wang Yun to force Professor Witten to tell the truth.

After leaving the office, Wang Yun took a deep breath of fresh air.I don't know when the academic report meeting will be held.

…………

Wang Yun was walking in Princeton, but on Huaguo's side, he was almost about to explode.

At two o'clock in the morning, Professor Chen, who was sleeping, was woken up by Director Yang's serial killings.He picked up the phone in a daze, looked at Director Yang's words displayed on the screen of the phone, and said in a daze, "Director, what's the matter with you, so anxious, can you tell me tomorrow?"

"Tomorrow!" Director Yang was full of spirit, he was obviously old, but he didn't expect this person to be so full of spirit.

"What's the matter?" Professor Chen didn't quite understand what was going on with this man, and it didn't sound like something particularly bad.Moreover, there seems to be nothing bad about Beijing University recently, right?

"I still have vision!"

"???" Wait, why are you bragging about yourself?Before Professor Chen could react, Director Yang was already boasting on the other end of the phone, "If I hadn't asked them to give the Chern Mathematics Award to Wang Yun, I'll see where they will put their faces now."

"En?" Professor Chen grasped the key words, "Wang Yun, what's the matter?"

"Two hours ago, this guy uploaded a paper on arXiv announcing that he solved the Kakutani conjecture."

"What?" Professor Chen's hand trembled, and he almost dropped his phone on the ground, "Unravel Kakutani's conjecture? How is it possible, is he crazy or the world is crazy?"